Within the context of supersymmetric hybrid inflation , we study a multiple-stage inflationary scenario that can generate a primordial spectrum of adiabatic density perturbations with a break at k _ { b } \simeq 0.05 ~ { } h~ { } { Mpc } ^ { -1 } . The presence of such a break is supported by the APM galaxy survey data . We consider a specific model within this scenario and confront it with observational data . We reproduce the angular power spectrum of CMB anisotropies , and also account for the break in the power spectrum of galaxy clustering . In addition , we find a value for \sigma _ { 8 } in agreement with the one deduced from observations . A characteristic property of the spectrum is a drop of the spectral index from n \simeq 1 to n \sim 0.6 at k \sim k _ { b } . PACS number : 98.80.Cq , 98.80.-k , 98.95.D